Finding the Third Proportional to 138,675 and 213,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,675 : 213,196.50 = 213,196.50 : x
2. Step 2: Convert to fraction form
   138,675/213,196.50 = 213,196.50/x
3. Step 3: Cross multiply
   138,675x = 213,196.50 × 213,196.50
4. Step 4: Simplify right side
   138,675x = 45,452,747,612.25
5. Step 5: Solve for x
   x = 45,452,747,612.25/138,675
6. Step 6: Final answer
   x = 327,764.54